AB and CD are two common tangents to circles which touch each other at C if D lies on AB such that C...........

Quantitative Aptitude (CGL) Coordinate Geometry

AB and CD are two common tangents to circles which touch each other at C. if D lies on AB such that CD = 4cm, then Find the value of AB?

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Explanation:

In the first circle, we can say that AD and CD are two tangents drawn from an outside point D .
This implies: AD=DC
DC=4 cm = AD ............(1)
Similarly, for tge second circle , two tangents are DB and DC.
DC=DB= 4cm ...............(2)
Now AB = AD+DB
By (1) & (2)
AB =8 cm